Finding the Third Proportional to 147,066 and 319,020

Step by Step Solution

1. Step 1: Write the proportion equation
   147,066 : 319,020 = 319,020 : x
2. Step 2: Convert to fraction form
   147,066/319,020 = 319,020/x
3. Step 3: Cross multiply
   147,066x = 319,020 × 319,020
4. Step 4: Simplify right side
   147,066x = 101,773,760,400
5. Step 5: Solve for x
   x = 101,773,760,400/147,066
6. Step 6: Final answer
   x = 692,027.80